k is the midpoint of JL
KL= 7n+ 10
JL= 76
Since k is the midpoint, then;
JK = KL = 7n + 10
Also
JL = JK + kL
76 = (7n + 10) + (7n+10)
76 = 7n + 10 + 7n + 10
76 = 14n + 20
subtract 20 from both-side of the equation
76 - 20 = 14n
56 = 14n
divide both-side of the equation by 14
56/14 = n
4 = n
n = 4
JK= 7n + 10 = 7(4) + 10 = 28 + 10 = 38
KL=JK=38
KL=38
